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Finding the Fourth Proportional to 22,369.24, 33,529.25 and 9,214.43

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Solution

The fourth proportional to 22,369.24, 33,529.25 and 9,214.43 is: 13,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.24 : 33,529.25 = 9,214.43 : x
  2. Step 2: Convert to fraction form
    22,369.24/33,529.25 = 9,214.43/x
  3. Step 3: Cross multiply
    22,369.24x = 33,529.25 × 9,214.43
  4. Step 4: Simplify right side
    22,369.24x = 308,952,904.04
  5. Step 5: Solve for x
    x = 308,952,904.04/22,369.24
  6. Step 6: Final answer
    x = 13,811.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.